Solutions of a Kuramoto Model of Mutually
نویسنده
چکیده
We investigate existence and exact multiplicity of phase-locked solutions of a Ku7 ramoto system of coupled oscillators. Under general assumptions on the form of frequency distri8 bution, we derive new, easily verified criteria which guarantee that either (i) exactly one solution 9 exists, or (ii) exactly two solutions coexist over an entire interval of values of the key parameter γ. 10 We illustrate our results with an example in which each of these possibilities occurs. Problems for 11 future research are suggested. 12
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